ON THE GAUSS k− FIBONACCI POLYNOMIALS

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Taştan M., Özkan E.

Electronic Journal of Mathematical Analysis and Applications, cilt.9, sa.1, ss.124-130, 2021 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 9 Sayı: 1
• Basım Tarihi: 2021
• Dergi Adı: Electronic Journal of Mathematical Analysis and Applications
• Derginin Tarandığı İndeksler: zbMATH
• Sayfa Sayıları: ss.124-130
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Marmara Üniversitesi Adresli: Hayır

Özet

In this paper, we define the new families of Gauss k-Fibonacci polynomials. We obtain some exciting properties of the families. We give the relationships between the family of the Gauss k- Fibonacci polynomials and the known Gauss Fibonacci polynomials. We also define the generalized polynomials for these numbers. We also obtain some interesting properties of the polynomials. Furthermore, we find the new generalizations of these families and the polynomials in matrix representation. Then we prove Cassini’s Identities for the families and their polynomials.